10C1 Mathematics
Weekly outline
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NAU MAI KI TE 10C1 PANGARAU
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Admin Day conferences
Touching base with parents and students
LA introduction to Yr 7 parents and students, initial checklist
DEEP Selections - Students start looking at options
GATE programme letters to identified students and parents
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Kia ora 10C1
TERM 1 WEEK 2
Welcome Back Seniors!
Hope you had an enjoyable and restful break.
I am looking forward to an exciting and fulfilling year with all of you. Make the most of the opportunities that come your way and demonstrate the MHJC values through positive role modelling and constructive leadership.
CONTEXT - To establish NZ identity we face challenges and take risksSuccess Criteria: I can/have...
- Understand Maori numbers in relation to place value (Maori world view)
- Identify prime numbers, list factors and multiples of numbers and solve related contextual problems
Activities:
- Warm up - Times tables Bingo
- Counting in Maori, writing numbers in Maori and converting numbers written in Maori to numerical form
- What are multiple, factors and prime factors? Explanation of concept
- Multiples and Factors Video - https://www.youtube.com/watch?v=rUrLuTMq-sw
- Factors video - https://www.youtube.com/watch?v=yJ-T8z2-Zg4
- Practice questions (Differentiation)
- Extension - Practical applications of factors and multiples
Homework:
Maths Buddy (Differentiation)
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Kia ora 10C1
TERM 1 WEEK 3
Success Criteria: I can/have...
- Round a number to a given significant figure
- Confidently convert between ordinary and standard form
- Find power and roots of numbers
Activities:
- Maori numbers 1 to 30
- Warm up
- Explanation of skills and concepts (rounding to a significant figure, powers and roots of numbers) with examples (Whole class, group or individual teaching as required)
- Rounding to significant numbers video - https://www.youtube.com/watch?v=-X0amVzMKFo
- Online practice for rounding to significant figures - https://www.transum.org/software/SW/Starter_of_the_day/Students/Rounding.asp?Level=4
- Standard form/scientific notation - A way to write very large and very small numbers
- Video - Converting to and from standard form - https://www.youtube.com/watch?v=ceneATH5EZ8
- Find out the economic cost of damage from the recent floods and convert it into standard form.(context)
- Powers and roots - https://www.youtube.com/watch?v=B4zejSI8zho
- Practice questions
- Extension - Contextual applications (Differentiation)
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING rounding numbers to a certain number of significant figures
- We are EXPLORING the concept of powers and roots
- We are EXPLORING analysing and writing very large/small numbers using standard form/Scientific notation.
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FOCUS / ARONGA learning intentions:
- We are FOCUSING on describing and comparing graphs.
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding appropriate data measures such as mean, mode, median and range.
- We are EXPLORING displaying comparative samples in appropriate displays such as back to back stem and leaf graphs and double box and whisker plots.
Kia ora 10C1
TERM 1 WEEK 4
Success Criteria: I can/have...
- Draw a box and whisker plot from a data set
- Determine the 5 number summary from a box and whisker plot
- Display two data sets using back to back stem and leaf plots and double box and whisker plots
- Describe, analyse and interpret data sets in comparative displays
Activities:
- Warm up - S1 - weekly revision in groups(differentiation), S2 & 3 - Maori numbers & Numeracy skills
- What is a Box and whisker plot?
- Box and Whisker plots - Five number summary, how to draw a box and whisker plot using the 5 number summary, simple interpretations
- Video - https://www.google.com/search?q=how+to+make+a+box+and+whisker+plot+video&oq=video+on+howto+draw+a+box+and+whisker+plot&aqs=chrome.1.69i57j0i22i30l2.24215j0j7&sourceid=chrome&ie=UTF-8&safe=active&ssui=on#kpvalbx=_cfAfYpzZOPbSz7sPpIeNoAI16
- MHOL - Skill Practice Questions(Differentiation)
- Contextual Problem solving
- Interpreting and analyzing box and whisker plots(Extension)
Homework:
Maths Buddy(Differentiated)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding appropriate data measures such as mean, mode, median and range.
- We are EXPLORING displaying comparative samples in appropriate displays such as back to back stem and leaf graphs and box and whisker plots.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on describing and comparing graphs.
Kia ora 10C1
TERM 1 WEEK 5
Success Criteria: I can/have...
- Display two data sets by constructing double box and whisker plots
- Describe, analyse and interpret data sets using comparative displays
Activities:
- Warm up - https://www.transum.org/Maths/Exercise/Box_Plots.asp?Level=2
- Warm up - https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/e/interpreting-quartiles-on-box-plots
- Review of features of a box and whisker plot
- How can the 5 point summary be used to describe and analyse a data set
- Extension - Interpretation of results displayed by a box and whisker plot using features of the graph and percentages - https://www.nagwa.com/en/worksheets/898146506908/
- MHOL Practice Task
- Video on comparing box and whisker plots - https://www.youtube.com/watch?v=ZpXa4-yHtbg
- Comparing double box and whisker plots (Extension)
- Analysing a box and whisker plot - https://www.simplypsychology.org/boxplots.html
Homework:
Maths Buddy (Differentiation)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding appropriate data measures such as mean, mode, median and range.
- We are EXPLORING displaying comparative samples in appropriate displays such as back to back stem and leaf graphs and double box and whisker plots.
- We are EXPLORING interpreting graphs.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on describing and comparing graphs.
Kia ora 10C1
TERM 1 WEEK 6
Success Criteria: I can/have...
- Display two data sets by constructing double box and whisker plots
- Describe, analyse and interpret data sets using comparative displays
Activities:
- Warm up - Numeracy practice
- Review of features of a box and whisker plot
- How can the 5 point summary be used to describe and analyse a data set
- Extension - Interpretation of results displayed by a box and whisker plot using features of the graph and percentages - https://www.nagwa.com/en/worksheets/898146506908/
- Video on comparing box and whisker plots - https://www.youtube.com/watch?v=ZpXa4-yHtbg
- Comparing double box and whisker plots (Extension)
- Analysing a box and whisker plot - https://www.simplypsychology.org/boxplots.html
- Introduce NZ grapher - Using online tools to plot graphs and generate summaries
- Introduce PPDAC inquiry cycle
- Practice plotting graphs on NZ grapher with provided data sets
- Practice interpreting and analysing results
Homework:
Maths Buddy
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING finding appropriate data measures such as mean, mode, median and range.
- We are EXPLORING displaying comparative samples in appropriate displays such as back to back stem and leaf graphs and double box and whisker plots.
- We are EXPLORING organising and displaying data through different kinds of graphs.
- We are EXPLORING interpreting graphs.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on describing and comparing graphs.
Kia ora 10C1
TERM 1 WEEK 7
Success Criteria: I can/have...
- Understand Statistical Vocabulary
- Organise and display data by creating a frequency table, column graph, dot plot, stem and leaf graph, box and whisker plot and scattergraphs
- Recognise outliers
- Recognise bias in a sample
- Recognise misleading graphs
- Read, interpret and compare graphs
Activities:
- Warm up Activity
- Explanation of new skills and concepts with example - Whole class, group or individual teaching as required
- MHOL - Practice questions
- Contextualised problem solving
- Applications
- Differentiation through Maths Buddy and in class tasks
Homework:
Maths Buddy
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Kia ora 10C1
TERM 1 WEEK 8
Success Criteria: I can/have...
- Construct online graphs using NZ Grapher
- Analyse the summary statistics
- Draw comparisons from the double box plots and dot plots
Activities:
- Statistical measures/tools to describe, analyse and compare data
- Mock assessment
- Compare analysis and findings
- Clarify doubts
- Practice with different sets of data
Homework:
Revise and prepare for assessment
Maths BuddyPLAN & DO / WHAKAMAHI learning intentions:
- We are PLANNING to construct online graphs for a data set
- We are PLANNING to use the PPDAC statistical inquiry cycle so that we can analyse results, draw conclusions and share our findings
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Kia ora 10C1
TERM 1 WEEK 9
Success Criteria: I can/have...
- Construct online graphs using NZ Grapher
- Use Statistical measures to describe, analyse and compare data sets and graphs
- Write a conclusion and an informal inference for my findings
Activities:
- Assessment Week
Homework:
Maths Buddy
PLAN & DO / WHAKAMAHI learning intentions:
- We are PLANNING to construct online graphs for a data set
- We are PLANNING to use the PPDAC statistical inquiry cycle so that we can analyse results, draw conclusions and share our findings
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING chance probability
- We are EXPLORING finding the connection between the probability of an event and the probability of its complement
- We are EXPLORING determining experimental probabilities
Kia ora 10C1
TERM 1 WEEK 10
Success Criteria: I can/have...
- Determine chance probabilities
- Define a sample space
- Illustrate a sample space on a tree diagram
- Determine complimentary events
- Determine experimental probabilities
Activities:
- Revision of probability basics
- Explanation of new skills and concepts(Whole class, group or individual teaching as required)
- Practice questions
- MHOL Tasks
- Complementary probability video - https://www.youtube.com/watch?v=xyjFS1PdTpU
- Contextual problems
Homework:
Maths Buddy (Differentiation)
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TERM HOLIDAYS
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TERM HOLIDAYS
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Kia ora 10C1
TERM 2 WEEK 2
Context - Change/Reaction
Success Criteria: I can/have...
- Round to given decimal places
- Add, subtract, multiply and divide proper, improper and mixed fractions
- Find the fraction of a quantity/amount
Activities:
- Warm up - Rounding decimals - https://www.transum.org/software/SW/Starter_of_the_day/Students/RoundingWN.asp?Level=1
- How to round to decimal places and sensible rounding
- Calculator skills with fractions and decimals - https://www.transum.org/software/SW/Starter_of_the_day/Students/Fractions.asp
- Concept of a whole
- Solving word problems involving fractions and decimals
- Practice questions - MHOL Tasks
- Introduce Banqer High - Financial literacy programme - Take the introductory quiz
Homework:
Maths Buddy
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages.
Kia ora 10C1
TERM 2 WEEK 3
Success Criteria: I can/have...
- Understand and use percentages
Activities:
- Warm up - percentages https://www.transum.org/Maths/Activity/Fractions/Particular.asp?Level=1
- Finding the percentage of a quantity - https://www.transum.org/software/SW/Starter_of_the_day/Students/Percentages.asp
- Calculating percentage discounts - simple application of percentages in day to day life
- Profit and loss calculations with cost price and selling price
- Profit and loss as a percentage of the cost price
- Increasing and decreasing by a percentage? What does it mean? The multiplier method
- Practice skill practice(differentiated)
- Banqer high - Accounts quiz
Homework:
Maths Buddy (Differentiation)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages.
Kia ora 10C1
TERM 3 WEEK 4
Success Criteria: I can/have...
- Understand and use percentages
Activities:
- Warm up - https://www.transum.org/Maths/Exercise/Express_As_A_Percentage.asp
- Percentage switch - https://www.transum.org/Maths/Exercise/Percentages/Switch.asp
- Calculating percentage discounts - simple application of percentages in day to day life
- Profit and loss calculations with cost price and selling price
- Profit and loss as a percentage of the cost price
- Increasing and decreasing by a percentage? What does it mean? The multiplier method
- Practice skill practice(differentiated)
- Banqer high - Credit/Debit cards quiz
Homework:
Maths Buddy (Differentiated)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages
- We are EXPLORING interpreting and using percentage rates to calculate GST and discounts
Kia ora 10C1
TERM 2 WEEK 5
Success Criteria: I can/have...- Understand and use rates
- Calculate GST
- Calculate discounts
Activities:
- Warm up - https://www.transum.org/Software/Pentransum/Topic_Test.asp?ID_Topic=28
- What is GST? Goods and Services Tax
- Understanding GST with an example
- Changes in GST rate overtime - Impact on consumers (Change/reaction)
- Calculating GST - Skill practice
- GST contextual problems (Extension)
- What is mark up?
- Calculating and solving mark up word problems (Extension)
- Banqer high - Please make sure you have completed the first 3 modules - Accounts, credit/debit cards and careers
Homework:Maths Buddy (Differentiated)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages.
- We are EXPLORING interpreting and using rates in real life situations.
Kia ora 10C1
TERM 2 WEEK 6
Success Criteria: I can/have...
- Understand and use rates
- Calculate exchange rates
Activities:
- Revision of discounts, percentage increase or decrease and GST - A Tax
- What are exchange rates? When and what are they used for?
- Understand that monetary exchange rates change constantly
- How do we convert money in any currency to its equivalent in NZ dollars by using exchange rates
- Video on currency conversions - https://www.youtube.com/watch?v=WDRhdtR96E0
- Practice questions
- EP on exchange rates
- Solving word problems involving exchange rates
- Banqer High - Kiwi saver module
Homework:
Maths Buddy (Differentiated tasks)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING calculations and operations with fractions, decimals and percentages.
- We are EXPLORING interpreting and using rates and ratios in real life situations.
- We are EXPLORING ratios and understanding calculations involving ratios.
Kia ora 10C1
TERM 2 WEEK 8
Success Criteria: I can/have...
- Understand and use fractions, decimals and percentages
- Understand and use rates and ratios
Activities:
- Warm up - https://www.transum.org/Software/SW/Starter_of_the_day/starter_June4.ASP
- What is a ratio?
- Simplifying ratios
- Equivalent ratios
- Using ratios to divide quantities - Watch online presentation to understand and work out questions with prompts
- Practice questions (Differentiated)
- Online practice - https://www.transum.org/software/SW/Starter_of_the_day/Students/Ratio.asp?Level=1
- Contextual applications
- Introduce assessment
- Bander High - Home ownership module
Homework:
Maths Buddy (Differentiation)
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PLAN & DO / WHAKAMAHI learning intentions:
- We are PLANNING to apply number skills and operations to solve a problem in contexts.
Kia ora 10C1
TERM 2 WEEK 9
Success Criteria: I can/have...
- Operate with and perform calculations involving fractions, decimals, percentages, rates and ratios.
Activities:
- Assessment week - Number assessment
- Go over rubric and criteria again
- Attempt practice assessment
- Teacher support in identified areas - whole class, group or individual teaching
- Clarification of doubts/questions
- Second part of practice task question - Cheap Kayaks have decided it will also give Dave one item free for every five similar items bought. For Kayaks galore to match this , what discount would they need to offer?
Homework:
Maths Buddy (Differentiation)
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TERM BREAK
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING interpreting algebraic symbols and expressions.
- We are EXPLORING collecting like terms to simplify algebraic expressions.
Kia ora 10C1TERM 3 WEEK 1
Success Criteria: I can/have...
- Use algebraic notation to write algebraic expressions and equations
- Collect and combine like terms to simplify algebraic expressions
- Use substitution to evaluate algebraic expressions
Activities:
- Warm up -https://www.transum.org/software/SW/Starter_of_the_day/Students/Missing_Terms.asp
- Introduction to Algebra
- Algebraic vocabulary - pro-numerals, constant, coefficient etc
- Putting words into algebraic expressions - how to write algebraic products and sums
- Pre-Algebra skills - https://study.com/skill/pre-algebra-skills-practice.html#SN-8011
- What are like terms? Explanation with examples
- Combining like terms - A way to simplify algebraic expressions - Explanation with examples
- Practice questions (Differentiated)
- Online practice for writing expressions - https://www.transum.org/Maths/Exercise/Expressions/
- Online practice for like terms - https://www.transum.org/Maths/Activity/Algebra/Collecting_Like_Terms.asp
Homework:
Maths Buddy(Differentiation) -
Kia ora 10C1
TERM 3 WEEK 2
Success Criteria: I can/have...
- Use algebraic notation to write algebraic expressions and equations
- Collect and combine like terms to simplify algebraic expressions
- Use substitution to evaluate algebraic expressions
Activities:
- Warm up - https://www.transum.org/software/SW/Starter_of_the_day/Students/Missing_Terms.asp
- Introduction to Algebra
- Algebraic vocabulary - pro-numerals, constant, coefficient etc
- Putting words into algebraic expressions - how to write algebraic products and sums
- Pre-Algebra skills - https://study.com/skill/pre-algebra-skills-practice.html#SN-8011
- What are like terms? Explanation with examples
- Combining like terms - A way to simplify algebraic expressions - Explanation with examples
- Substitution - Replacing pro-numerals/unknowns with a numerical substitution
- Practice questions(differentiated)
- Online practice for writing expressions - https://www.transum.org/Maths/Exercise/Expressions/
- Online practice for like terms - https://www.transum.org/Maths/Activity/Algebra/Collecting_Like_Terms.asp
Homework:
Maths Buddy(Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING interpreting algebraic symbols and expressions.
- We are EXPLORING collecting like terms to simplify algebraic expressions.
- We are EXPLORING analysing and evaluating linear expressions by substitution.
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Kia ora 10C1
TERM 3 WEEK 3
Success Criteria: I can/have...
- Use substitution to evaluate algebraic expressions
- Use and apply index laws
- Simplify algebraic products using index notation
- Simplify algebraic fractions using index notation
Activities:
- Warm up - Quizizz - Adding and subtracting like terms
- What is index notation?
- Video - https://www.youtube.com/watch?v=ncMsVv-gml8
- Using index notation to write expressions in a simplified way - explained with examples
- Applying index notation to simplify algebraic products and fractions
- Attempt practice questions
Homework:
Maths Buddy
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING analysing and evaluating linear expressions by substitution.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on simplifying algebraic expressions by solving them using index notation
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Kia ora 10C1
TERM 3 WEEK 4
Success Criteria: I can/have...
- Add and subtract algebraic fractions
- Multiply and divide algebraic fractions
Activities:
- Warm up - https://www.transum.org/Software/SW/Starter_of_the_day/Students/Indices.asp?Level=7
- What is an algebraic fraction? Give an example of an algebraic fraction
- Is there a way to add two algebraic fractions with the same denominator and with different denominators? What can you relate this too? Think about number operations with fractions.
- Teacher explains adding and subtracting of algebraic fractions with an example
- Teacher explains multiplying and dividing algebraic fractions with an example
- Attempt practice questions
- Online practice for operations with mixed algebraic fractions - https://www.transum.org/Software/SW/Starter_of_the_day/Students/Algebraic_Fractions.asp?Level=1
- Extension - Gamma Mathematics - Page 128, 129, 131 Q 14 onwards
Homework:
Maths Buddy (Differentiation)
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING using the mathematical operations with algebraic fractions.
FOCUS / ARONGA learning intentions:
- We are FOCUSING on solving algebraic fractions involving addition , subtraction, multiplication and division
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PLAN & DO / WHAKAMAHI learning intentions:
- We are PLANNING to construct a table of values from a pattern so that we can draw a linear graph
FOCUS / ARONGA learning intentions:
- We are FOCUSING developing a rule to describe a pattern.
Kia ora 10C1
TERM 3 WEEK 5
Success Criteria: I can/have...
- Substitute values into formulae
- Describe and extend geometric patterns
- Construct a table of values and write a rule to describe a pattern
- Use the rule to solve problems
Activities:
- Warm up - https://www.transum.org/software/SW/Starter_of_the_day/Students/Stable_Scales_Quiz.asp
- Recap the concept of substitution - substituting values into a formula to complete a table of values
- Geometric and spatial patterns - continuing patterns and filling out a table of values for the pattern (Differentiated)
- Using the table of values to come up with a formula/rule for that pattern
- Using the the rule to solve problems related to a pattern
- Online practice for patterns and rules - https://www.transum.org/Maths/Activity/Matchstick_Patterns/
- Graphing simple linear equations and answering related questions
- Extension - Finding the gradient and equation of a line from a linear graph
Homework:
Maths Buddy (Differentiation)
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EXPLORE / TŪHURA learning intentions:
- We are EXPLORING graphing linear rules and interpreting the slope and intercepts on an integer coordinate system.
- We are EXPLORING finding the equation of a line.
Kia ora 10C1TERM 3 WEEK 6
Success Criteria: I can/have...
- Substitute values into formulae
- Describe and extend geometric patterns
- Construct a table of values and write a rule to describe a pattern
- Use the rule to solve problems
Activities:- Warm up - https://www.transum.org/Maths/Activity/Matchstick_Patterns/
- Recap the concept of substitution - substituting values into a formula to complete a table of values
- Geometric and spatial patterns - continuing patterns and filling out a table of values for the pattern (Differentiated)
- Using the table of values to come up with a formula/rule for that pattern
- Using the the rule to solve problems related to a pattern
- Online practice for patterns and rules - https://www.transum.org/Maths/Activity/Matchstick_Patterns/
- Graphing simple linear equations and answering related questions
- Extension - Finding the gradient and equation of a line from a linear graph
- Gradient and equation of a line practice - https://www.transum.org/software/GraphMatch/Gradient.asp
Homework:
Maths Buddy (Differentiated)
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Kia ora 10C1
TERM 3 WEEK 7
Success Criteria: I can/have...
- Expand and factorise linear algebraic expressions
Activities:
- Warm up - https://www.transum.org/Maths/Exercise/Algebra/Fraquations/Default.asp?Level=1
- What does expanding and factorising mean in Maths?
- How do you write in expanded form?
- Expansion of terms in Algebra
- Video on how to expand algebraic terms.- https://www.youtube.com/watch?v=WpvDcFSgTwU
- Recognise that factorisation is the opposite of expansion(Putting terms back in brackets)
- Video on how to factorise algebraic terms - https://www.youtube.com/watch?v=DWitQODoI-Y
- EP Task
- Practice questions on MHOL
Homework:
Maths Buddy
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING expanding and factorising linear algebraic expressions and recognising that factorisation is the opposite of expansion.
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Kia ora 10C1
TERM 3 WEEK 8
Success Criteria: I can/have...
- Expand and Factorise linear equations
Activities
- Warm up - https://www.transum.org/software/SW/Starter_of_the_day/Students/Brackets.asp?Level=1
- What does expanding and factorising mean in Maths?
- How do you write in expanded form?
- Expansion of terms in Algebra
- Video on how to expand algebraic terms.- https://www.youtube.com/watch?v=WpvDcFSgTwU
- Recognise that factorisation is the opposite of expansion(Putting terms back in brackets)
- Video on how to factorise algebraic terms - https://www.youtube.com/watch?v=DWitQODoI-Y
- EP Task
- Practice questions on MHOL (Refer to week 6)
Homework:
Maths Buddy
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING expanding and factorising linear algebraic expressions and recognising that factorisation is the opposite of expansion.
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Kia ora 10C1
TERM 3 WEEK 9
Success Criteria: I can/have...
- Understand and use the Pythagoras theorem
Activities:
- Introduction to the Pythagoras theorem - Who was Pythagoras and his work
- Watch video on the Pythagoras theorem and its proofs - https://www.google.com/search?q=how+to+prove+the+pythagorean+theorem&oq=How+to+prove+the+&aqs=chrome.2.69i57j0i455i512j0i512l8.10335j0j7&sourceid=chrome&ie=UTF-8&safe=active&ssui=on#kpvalbx=_tRc8YcnIHued4-EPhp2P4Aw17
- Discussion on video
- Explanation of using the Pythagoras theorem to find an unknown side
- Skill Practice
- Extension - Applications of the Pythagoras theorem
Homework:
Maths Buddy
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING conceptualising the Pythagoras theorem
- We are EXPLORING finding sides of a right angled triangle using the Pythagorean rule
- We are EXPLORING investigating whether the converse of the Pythagorean rule can be used to check for right angled triangles
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Kia ora 10C1
TERM 3 WEEK 1O
Success Criteria: I can/have...
- Apply the trigonometry ratios in two dimensions
Activities:
- Warm up - https://www.transum.org/Software/SW/Starter_of_the_day/Students/Pythagoras_Basics.asp?Level=1
- How to determine the hypotenuse, opposite side and adjacent side in a right angled triangle
- Video on introduction to Trig ratios - https://www.youtube.com/watch?v=zU94BB9aUgE
- Video on how to apply the Trig ratios- https://www.youtube.com/watch?v=QThmz7ZJsWM
- Using a calculator to find sin, cos and tan theta
- Choose and apply trigonometric ratios to find an unknown side/angle
Homework:
Maths Buddy
EXPLORE / TŪHURA learning intentions:
- We are EXPLORING using the trigonometric ratios in any right angled triangle to find an unknown side and/or an unknown angle.
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TERM BREAK
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TERM BREAK
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Kia ora 10C1TERM 4 WEEK 2
Success Criteria: I can/have...
- Solve simple quadratic expressions and equations
Activities:
- CAT Revision - significant numbers
- Numeracy co-requisite practice
- The form of quadratic expressions
- How to solve quadratic expressions - video and instructions - https://www.youtube.com/watch?v=r7DtjXPhmxg
- Example and practice questions
Homework:
Maths Buddy (Differentiation)
FOCUS / ARONGA learning intentions:
- We are FOCUSING on solving simple quadratic equations using factorisation.
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FOCUS / ARONGA learning intentions:
- We are FOCUSING on solving simple quadratic equations using factorisation.
Kia ora 10C1TERM 4 WEEK 3
Success Criteria: I can/have...
- Factorise monic and non-monic quadratic expressions and equations
Activities:
- Warm up - CAT Revision - Increasing and decreasing by a percentage
- The form of non-monic quadratics
- Solving non-monic quadratics by taking a common factor - Explain with example on board
- Extension - Video on solving non-monic quadratics - https://www.youtube.com/watch?v=2lZgZ5pcsg0
- Practice questions
- Practice for Numeracy standard
- Consolidation of fundamental skills and concepts in maths (for those not sitting numeracy standard)
Homework:
Maths Buddy(Differentiation)
Revision for numeracy co-requisite
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PLAN & DO / WHAKAMAHI learning intentions:
- We are PLANNING to construct quadratic graphs so that we can understand parabolas.
Kia ora 10C1
TERM 4 WEEK 4
Success Criteria: I can/have...
- Sketch a quadratic graph
Activities:
- NCEA co-requisite week
- Warm up - CAT Revision - Algebra
- Go over weekly revision skills that require further practice
- Extension - Quadratic graphs - Sketching a parabola
- What is a parabola? - video - https://www.youtube.com/watch?v=yh1omjP-IJA
- Explain quadratic graphs with an example
- Help video and Practice questions on MHOL
Homework:
Maths Buddy
CAT Revision
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FOCUS / ARONGA learning intentions:
- We are FOCUSING on solving simultaneous equations using the elimination and substitution method.
Kia ora 10C1TERM 4 WEEK 5
Success Criteria: I can/have...
- solve a system of simultaneous equations using the elimination method.
- solve a system of simultaneous equations using the substitution method.
Activities:
- Eastle week
- Warm up - CAT Revision - Algebra - Patterns and relationships
- Simultaneous equations - two or more algebraic equations that share variables
- Methods to solve simultaneous equations - elimination and substitution
- Instructional video and tasks
- Video on solving using substitution - https://corbettmaths.com/2013/05/07/solving-simultaneous-equations-by-substitution/
- Attempt practice exercise
Homework:
Maths Buddy
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COMMON ASSESSMENT TASK WEEK
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Kia ora 10C1
TERM 4 WEEK 7
Success Criteria: I can/have...
- Understand financial concepts better that will help us to manage our money better.
Link to context - Financial decisions and choices can impact on outcomes in life. A strong foundation in financial literacy provides greater resilience during predictable and unpredictable life events.
Activities:
- Budgeting
- Saving
- Managing debt
- Investing
- Managing credit
- Government benefits and allowances
- Inflation and purchasing power
- Online activities:
Unit pricing - https://www.transum.org/Maths/Puzzles/Jigsaw/Unit_Pricing.asp?Level=1
Flowchart Bills - https://www.transum.org/software/SW/Starter_of_the_day/Students/Flowchart_Bills.asp?Level=1
Interest - https://www.transum.org/Maths/Activity/Interest/
Currency conversion - https://www.transum.org/Maths/Activity/Currency/
Overdraft charges - https://www.transum.org/Maths/Exercise/Finance/Overdraft.asp
Mathopoly - https://www.transum.org/software/Fun_Maths/Mathopoly/
Homework:
Complete class tasks
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WORK EXPERIENCE WEEK
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Kia ora 10C1
TERM 4 WEEK 9
Success Criteria: I can/have...
- Understand and assess risks involved in financial decisions and their likely outcomes
Activities
- Cryptocurrency - https://sortedinschools.org.nz/students/activities/cryptocurrency/
- Inflation - https://sortedinschools.org.nz/students/activities/inflation/
Homework:
Complete class activities
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